{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "from IPython.display import HTML\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_data(length_nums, repeat_n):\n",
    "    nums = list(range(length_nums))\n",
    "    nums = [element for element in nums for _ in range(random.randint(1,repeat_n))]\n",
    "    return nums"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 7, 8, 9, 9]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nums = generate_data(10,4)\n",
    "nums"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#指针移动可视化\n",
    "def visualize_pointer_movement_with_squares(nums):\n",
    "    original_nums = nums.copy()\n",
    "\n",
    "    def algorithm(nums):\n",
    "        slow = 0\n",
    "        fast = 0\n",
    "        size = len(nums)\n",
    "        movements = []\n",
    "        while fast < size:\n",
    "            if nums[fast] != nums[slow]:\n",
    "                slow += 1\n",
    "                nums[slow] = nums[fast]\n",
    "            fast += 1\n",
    "            movements.append((fast, slow))\n",
    "        return movements\n",
    "\n",
    "    pointer_movements = algorithm(nums.copy())\n",
    "    fig, ax = plt.subplots(figsize=(12, 4))\n",
    "    \n",
    "    for i, num in enumerate(original_nums):\n",
    "        ax.text(i, 0.5, num, ha='center', va='center', fontsize=12)\n",
    "        ax.add_patch(plt.Rectangle((i - 0.5, 0), 1, 1, fill=None, edgecolor='black'))\n",
    "\n",
    "    fast_pointer, = ax.plot([], [], 'r^', label='Fast Pointer', markersize=10)\n",
    "    slow_pointer, = ax.plot([], [], 'bv', label='Slow Pointer', markersize=10)\n",
    "    ax.set_xlim(-0.5, len(nums) - 0.5)\n",
    "    ax.set_ylim(-1, 2)\n",
    "    ax.axis('off')\n",
    "    ax.legend(loc='upper right')\n",
    "\n",
    "    def update(frame):\n",
    "        fast, slow = pointer_movements[frame]\n",
    "        fast_pointer.set_data((fast - 0.5,), (1.5,))\n",
    "        slow_pointer.set_data((slow - 0.5,), (-0.5,))\n",
    "        return fast_pointer, slow_pointer\n",
    "\n",
    "    ani = animation.FuncAnimation(fig, update, frames=len(pointer_movements), interval=800, blit=True)\n",
    "    return HTML(ani.to_jshtml())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_img99ca3228c00545ab9cc33fe9941041fe\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slider99ca3228c00545ab9cc33fe9941041fe\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anim99ca3228c00545ab9cc33fe9941041fe.set_frame(parseInt(this.value));\"></input>\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" onclick=\"anim99ca3228c00545ab9cc33fe9941041fe.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" onclick=\"anim99ca3228c00545ab9cc33fe9941041fe.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" onclick=\"anim99ca3228c00545ab9cc33fe9941041fe.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" onclick=\"anim99ca3228c00545ab9cc33fe9941041fe.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" onclick=\"anim99ca3228c00545ab9cc33fe9941041fe.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" onclick=\"anim99ca3228c00545ab9cc33fe9941041fe.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" onclick=\"anim99ca3228c00545ab9cc33fe9941041fe.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" onclick=\"anim99ca3228c00545ab9cc33fe9941041fe.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" onclick=\"anim99ca3228c00545ab9cc33fe9941041fe.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_select99ca3228c00545ab9cc33fe9941041fe\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_99ca3228c00545ab9cc33fe9941041fe\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_99ca3228c00545ab9cc33fe9941041fe\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_99ca3228c00545ab9cc33fe9941041fe\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_99ca3228c00545ab9cc33fe9941041fe\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_99ca3228c00545ab9cc33fe9941041fe\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_99ca3228c00545ab9cc33fe9941041fe\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_img99ca3228c00545ab9cc33fe9941041fe\";\n",
       "    var slider_id = \"_anim_slider99ca3228c00545ab9cc33fe9941041fe\";\n",
       "    var loop_select_id = \"_anim_loop_select99ca3228c00545ab9cc33fe9941041fe\";\n",
       "    var frames = new Array(23);\n",
       "    \n",
       "  frames[0] = \"\\\n",
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       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        anim99ca3228c00545ab9cc33fe9941041fe = new Animation(frames, img_id, slider_id, 800.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAADnCAYAAAA5Hh/PAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAAXs0lEQVR4nO3de3SU9Z3H8c8vmRAg4RZIICZAuCSZXCAKCl64WSwFddE9luoCQt3DauG4lp511/ZAW8RQd8/2bLtU0CjewPVwhLJdRdQWERRYqEQagZBkRS5CglxEkkCIGea3f8xE05grZCY/yPt1zhzN5HmezzNDEj585zdPjLVWAAAAgIsi2vsEAAAAgMZQVgEAAOAsyioAAACcRVkFAACAsyirAAAAcBZlFQAAAM6irAIAAMBZlFUAAAA4i7IKAAAAZ1FWAQAA4CxPe58AAABAuOTn5yd4PJ4VkrLF0K49+CXt9fl8c0aOHHmiJTtQVgEAQIfh8XhW9OvXLyM+Pv5MRESEbe/z6Wj8fr85efJk5vHjx1dImtqSffgXBQAA6Eiy4+Pjyymq7SMiIsLGx8efVWCy3bJ9Qng+AAAAromgqLav4PPf4g5KWQUAAGjK4cNRuuGGdB05wvLJdkBZBQAAaMqCBYnKz4/VggXXtMXhIiMjR3q93szaW3FxcafW7L948eKEioqKBjvcqFGj0lNSUrLT09MzR4wY4S0oKIhu7DiHDh2Kmjx58uDm8n7605/2a835tTXKKgAAQGMOH47S2rV9ZK20Zk2ftpiuRkdH+4uKigprb+np6V+1Zv+8vLy+lZWVjXa4lStXflpcXFw4ffr0Uz/5yU/6N7ZdSkpKzdtvv/1pc3lLly5NbM35SZLP52vtLo2irAIAADRmwYJE+f2B//f71VbT1brOnj0bcdNNN6VlZmZmpKWlZb7yyis9Jam8vDxiwoQJQ9PT0zNTU1OznnvuuV65ubkJJ06ciBo/fnza6NGj05o67sSJEysPHz4c7ff79dBDDyWnpqZmpaWlZT733HO9JKm4uLhTampqliQtXbq096RJk4aMHTs2deDAgdk/+tGPkiVp3rx5SdXV1RFerzdz6tSpgyRp+fLlccOGDcvwer2Z06dPH1hbTLt27Xrd/Pnzrxk+fLj33XffjW2r54e1FwAAAA2pnarW1BhJUk2N0Zo1fbRkSakGDLjk0WFt+ZOk/v37V2/YsOHAm2+++UlcXJy/rKzMM3r0aO/06dO/XLduXfd+/frVbN68+RNJOn36dGTv3r0vPv300323bNlSkpiY2OQ5rFu3rofX661auXJlzz179nTZv3//vrKyMs+oUaMyJk2aVFl/+8LCwq4FBQWFXbp08Q8dOjT70Ucf/Xz58uXHXnrppYSioqJCSfroo486r127Nm7Xrl1F0dHRdubMmQOeeeaZ3g8//PDpqqqqiOzs7Krf/va3pZf63DSEsgoAANCQulPVWrXT1VWrjlzqYWuXAdR+XF1dbebPn5+8Y8eO2IiICJ04caLT0aNHPSNGjKhasGBB/7lz5ybdddddZydPnvytgtmQWbNmDe7cubM/OTm5+plnnjny5JNP9vvBD37whcfjUf/+/X2jR4+u3Lp1a9frr7++qu5+Y8aMKe/du/dFSRo6dOiFAwcORA8dOrSm7jZvv/12t71793bNycnJkKQLFy5EJCQk+CQpMjJSP/zhD89c6vPSGMoqAABAffWnqrXaaLpaV15eXtzp06c9e/bs2R8dHW2TkpKGVVVVRQwfPrz6o48+Kvz973/fY8GCBUkbN24s//Wvf13W3PFWrlz56bhx487Xfmxty67U1alTp683jIyMtDX1H3vgWGbatGmnly1bdqyB/f0eT9tXS9asAgAA1NfQVLVWG69dPXv2bGSfPn1qoqOj7RtvvNGttLS0kxR4t363bt388+bN+2L+/Pmf/+Uvf+kqSTExMRfPnj3b4g43fvz4irVr18b5fD6VlpZ6/vznP8eOHTv2XEv393g8trq62kjS5MmTy9evX9/r2LFjHkn6/PPPI0tKSlp1NYPWYrIKAABQV2NT1VptPF2dM2fOF1OmTBmanZ2dkZWVdX7QoEEXJCk/P7/Lz372s+SIiAh5PB67fPnyw5I0e/bsU1OmTElNSEio2blzZ0lzx7///vu/3L59e2xGRkaWMcY+/vjjRwcMGOBr6SWzZsyYcTIjIyMzOzv7/Ouvv35w4cKFxyZOnJjm9/sVFRVlly5deiQtLa1VVzRoDdPS0TAAAMCVrqCg4FBOTs6pJjeaOXOAXnut8bIqSVFRVvfee+py1q52ZAUFBX1ycnJSWrItywAAAADq2rUrpsmiKgWmqx9+GBOmM+rQWAYAAABQV1HR/vY+BXyDySoAAACcRVkFAACAsyirAAAAcBZrVgEAAOrwepVRXKyuzW2Xnq7zRUVifWuIMVkFAACo4/rrdS4qSk1e2zMqSvaGG9TiC+vX9dhjj/UbOnRoVlpaWqbX683ctGlTjCSNGjUq/f3332+2JLfUPffck5KUlDTM6/VmZmZmZmzcuLHJqxdcd9113uaOuXjx4oSKioqw9kfKKgAAQB1LlqgsopmGFBEhLVmi0tYee+PGjTHvvPNOzz179hSWlJQUvvfeeyWDBw8O2QX1c3NzjxYVFRXm5uYemzdv3sCmtt29e3dRc8fLy8vrW1lZ2ar+6PNd3u9NoKwCAADUMXCgar7/fZ1qbLoaFSU7bZpODRigVrewY8eORcXFxfm6dOliJSkxMdGXkpJSU3+7vLy8uLS0tMzU1NSsuXPnJknSihUres2ZMydZkp544omE5OTkYZK0b9++6JEjR6Y3lTt58uSKzz77LFqSFi1a1Dc1NTUrNTU1a/HixQm123Tt2vU6SVq/fn23UaNGpU+ePHnwoEGDsqZOnTrI7/crNzc34cSJE1Hjx49PGz16dJokrVu3rvu1117rzczMzJgyZcrg2l8Dm5SUNOzRRx9NHDlyZPoLL7zQq7XPU12UVQAAgHqamq5e6lRVku6+++7y0tLSTikpKdkzZ84c8Oabb8bW3+bQoUNRixYtStq8eXNJYWHhvt27d8esWrWq56RJkyp27NjRTZK2bdsW27NnT9/BgwejNm3aFHvjjTdWNpW7evXqnqmpqVUffPBB11dffbV3fn7+/l27du1fuXJl/LZt27rU337//v1dli1b9tknn3yy78iRI9F/+tOfYhcuXHgiISGhZsuWLSU7d+4sKSsr8/zqV79KfP/990sKCwv3jxgx4vwTTzzRt/YYnTt39ufn5xc/+OCDZy7luapFWQUAAKinsenq5UxVJalHjx7+vXv3Fj711FOH4+PjfbNnzx6ydOnS3nW32bp1a8yNN95Ycc011/iioqJ07733frFly5bYAQMG+M6fPx9x5syZiNLS0k7Tpk07/cc//rHb1q1bY8eNG9dgWV24cGGy1+vNXLFiRZ/nn3/+0ObNm2Nvv/32L7t37+7v0aOH/4477jjz3nvvdau/37Bhw84NGTKkJjIyUllZWecPHDjQqf42mzdvjjlw4EDnUaNGeb1eb+bq1at7Hzly5OvtZs2adVkltRZXAwAAAGjAkiUqW7tWferedzlT1Voej0d33nlnxZ133lkxfPjwqlWrVvV+5JFHTtd+3trG39s1cuTIc8uWLeszZMiQC7feemvls88+2yc/Pz92+fLlRxvaPjc39+gDDzzwdWl86623urfkHKOjo78+icjISPl8vm/9+llrrcaMGVP+xhtvHGzoGN26dfO3JKs5TFYBAAAaUH+6erlTVUkqKCiI3rNnT3Ttx7t37+6SnJz8V2+wGjdu3LmdO3d2Kysr8/h8Pq1ZsyZuwoQJlZI0duzYimXLlvUdO3Zs5c0333x++/bt3Tp16uTv3bv3xZbkf+c736ncsGFDz4qKiojy8vKIDRs29Lr11lsrWnr+MTExF2vXpU6YMOHcrl27Yvfu3RstSRUVFREff/xxdNNHaD0mqwAAAI2oO11ti6lqeXl55COPPDKgvLw8MjIy0qakpFS//PLLh+tuM3DgwJpf/OIXx8aPH59mrTUTJ048O3PmzC8laeLEiZU//vGPO912220VHo9HiYmJX6Wmpl5oaf6YMWPOT58+/fSIESMyJOn+++8/ecstt1S1dP/Zs2efmjJlSmpCQkLNzp07S/Ly8g7dd999g7/66isjSb/85S+PDR8+vLqlx/uaMYmSVsva8d/6VFOjZgAAgKtJQUHBoZycnFOt2WfmTA149VXFz5ihk6tW6Uiozq0jKSgo6JOTk5Py9R3GLJf0kKyNrL8tk1UAAIAmLFmisuJidbncqSoaEZiqPqBGlqdSVgEAAJowcKBqPvxQxe19Hlexn0v61hu4avEGKwAA0JH4/X5/o8UIoRd8/gNXCvhmqtroG7MoqwAAoCPZe/LkyR4U1vbh9/vNyZMne0jaG7yryamqxDIAAADQgfh8vjnHjx9fcfz48WwxtGsPfkl7fT7fnJZMVSWuBgAAAID2ELgCwN+rblm19ltTVsoqAAAAwiswVf1UUue/ur+Bssr4GwAAAOHW7FrVWpRVAAAAhNtNamatai2WAQAAAMBZTFYBAADgLMoqAAAAnEVZBQAAgLMoqwAAAHAWZRUAAADOoqwCAADAWZRVAAAAOIuyCgAAAGdRVgEAAOAsyioAAACcRVkFAACAsyirAAAAcBZlFQAAAM6irAIAAMBZlFUAAAA4i7IKAAAAZ1FWAQAA4CzKKgAAAJxFWQUAAICzKKsAAABwFmUVAAAAzqKsAgAAwFmUVQAAADiLsgoAAABnUVYBAADgLMoqAAAAnEVZBQAAgLMoqwAAAHAWZRUAAADO8jT1SWPMIUkDw3MqX7soKbIDZLZXLplkkuluZnvlkkkmme5mtldu2DOttaah+421ttGdjDG2sR1DpaNktlcumWSS6W5me+WSSSaZ7ma2V257PdaGsAwAAAAAzqKsAgAAwFmUVQAAADiLsgoAAABnUVYBAADgLMoqAAAAnEVZBQAAgLMoqwAAAHAWZRUAAADOoqwCAADAWZRVAAAAOIuyCgAAAGdRVgEAAOAsyioAAACcRVkFAACAsyirAAAAcBZlFQAAAM6irAIAAMBZlFUAAAA4i7IKAAAAZ1FWAQAA4CzKKgAAAJxFWQUAAICzKKsAAABwFmUVAAAAzqKsAgAAwFmUVQAAADiLsgoAAABnUVYBAADgrDYvq8aYOGPMfxtjzhljDhtjprd1BplhzXzYGLPLGFNtjHkp1Hlkhjwz2hjzfPDrp8IYs9sYM4XMNst9xRhTZowpN8aUGGPmhDqzTnaqMeaCMeYVMq/sTGPM5mBeZfBWfDVmBnPvM8bsD/69dsAYMzaEWZX1bheNMb8LVV6d3BRjzAZjzBljzHFjzFPGGE+IMzOMMZuMMWeNMZ8YY/42lHmhzgzFZHWZpK8k9ZU0Q9LTxpisEOSQGZ7MUkm5kl4IcQ6Z4eGR9Jmk8ZJ6SPq5pNeMMSlktoknJaVYa7tLmiop1xgzMsSZtZZJ+jBMWWSG3sPW2tjgLf1qzDTGfFfSv0l6QFI3SeMkfRqqvDqPLVaBv0erJK0JVV4dyyWdkJQo6VoFfi7NC1VYsAj/j6T1kuIkPSjpFWNM2pWa2aZl1RgTI+keST+31lZaa7dKel3S/W2ZQ2Z4MiXJWrvOWvsHSadDmUNm2DLPWWsXWWsPWWv91tr1kg5KClmh6iiZwdx91trq2g+DtyGhzJQC0ylJX0p6N9RZZKINPS5psbV2R/D79Ji19liYsr+vQIH8IAxZgyS9Zq29YK09LultSaEcNHklXSPpN9bai9baTZK2KbR9IaSZbT1ZTZN00VpbUue+AoX2D4VM4BIZY/oq8LW1j8w2y1pujDkvqUhSmaQNIc7rLmmxpH8KZQ6ZYfekMeaUMWabMWbC1ZZpjImUdL2k+OBLxkeDL493CWVuHbMlrbTW2jBk/aek+4wxXY0xSZKmKFBYQ8U0cl/2lZrZ1mU1VtLZevedVWC8HypkApfAGBMl6b8kvWytLSKzbVhr5ynwfTlW0jpJ1U3vcdmekPS8tfazEOeQGT6PSRosKUnSs5LeMMaEekIf7sy+kqIUmHCOVeDl8eskLQxhpiTJGDNAgZfiXw51VtAWBQZL5ZKOStol6Q8hzCtSYGr8z8aYKGPMJAUeb9crNbOty2qlpO717usuqaKNc8gMTyauUsaYCEmrFFgD/TCZbSv4MthWScmS5oYqxxhzraTbJP0mVBlkhi+zlrV2p7W2wlpbba19WYGXU2+/yjKrgv/9nbW2zFp7StJ/hDiz1ixJW621B0MdFPwZ9I4C/3CNkdRHUi8F1uqGhLW2RtLdku6QdFyBVwZeU6AoX5GZbf1utBJJHmNMqrX2/4L35Si0L72RCbSCMcZIel6BycbtwR8yZIaGR6FdszpBUoqkI4GHq1hJkcaYTGvtCDKvuMzGWDX8MusVm2mtPWOMORrMCbdZkv41TFlxkvpLeiq4nr3aGPOiAm+u/ZdQhVprP1ZgsilJMsZsV4gnyaHMbNPJqrX2nAL/elhsjIkxxtwi6S4FJhshQWboMqXAO/yMMZ0lRSrwg7pzGC65QWZoPS0pQ9LfWGurmtuYzJYxxiSYwGV4Yo0xkcaY70n6O0mbQhj7rAJl+Nrg7RlJb0r6HplXZKaMMT2NMd+r/XlgjJmhwLvk37maMoNelPSPwe+dXpLmK/Bu8pAxxtyswFKHcFwFQMGJ8UFJc4PPbU8F1ssWhDLXGDM8+OfZ1RjzqAJXInjpis201jZ6C3y68c83sk+cAmsxzkk6Iml6K/fvEJmXkttOmYv0zbuaa2+LyLxiMwcGcy4osLSk9jaDzMvOjFdgbdqXCqxN2yPpH1pzjEvJbeBr6hUyr9zM4NfRhwos8fpS0g5J373aMoP7RClwWacvFXjpeKmkziHOzJO06jK+Di4l81pJmyWdkXRKgaKcEOI/038P5lVKekvS0FA/1rbIbOxmggENMsZYa21YX3roKJntlUsmmWS6m9leuWSSSaa7me2V216PtSH8ulUAAAA4i7IKAAAAZ1FWAQAA4CzKKgAAAJxFWQUAAICzKKsAAABwFmUVAAAAzqKsAgAAwFmUVQAAADiLsgoAAABnUVYBAADgLMoqAAAAnEVZBQAAgLMoqwAAAHAWZRUAAADOoqwCAADAWZRVAAAAOIuyCgAAAGdRVgEAAOAsyioAAACcRVkFAACAsyirAAAAcBZlFQAAAM6irAIAAMBZlFUAAAA4i7IKAAAAZ1FWAQAA4CzKKgAAAJxFWQUAAICzKKsAAABwFmUVAAAAzvI08/nDxhgbljP5xsUOktleuWSSSaa7me2VSyaZZLqb2V65Yc+01pqG7jfWtsdzDgAAADSPZQAAAABwFmUVAAAAzqKsAgAAwFmUVQAAADiLsgoAAABnUVYBAADgLMoqAAAAnEVZBQAAgLMoqwAAAHAWZRUAAADOoqwCAADAWZRVAAAAOIuyCgAAAGdRVgEAAOAsyioAAACcRVkFAACAsyirAAAAcBZlFQAAAM6irAIAAMBZlFUAAAA4i7IKAAAAZ1FWAQAA4CzKKgAAAJxFWQUAAICzKKsAAABwFmUVAAAAzqKsAgAAwFmUVQAAADiLsgoAAABnUVYBAADgLMoqgEYZo93GyLbgtru9zxUAcHWirAJoyv9Kqm5mm2pJ28NwLgCADshYa9v7HAA4yhglSvpUUucmNquSNNhaHQ/PWQEAOhImqwAaZa3KJL2oxqer1ZJepKgCAEKFySqAJjUzXWWqCgAIKSarAJrUxHSVqSoAIOSYrAJoViPTVaaqAICQY7IKoFkNTFeZqgIAwoLJKoAWqTddZaoKAAgLJqsAWqTOdNUvpqoAgDBhsgqgxYLT1dWS7qWsAgDCgbIKAAAAZ7EMAAAAAM6irAIAAMBZlFUAAAA4i7IKAAAAZ1FWAQAA4CzKKgAAAJxFWQUAAICzKKsAAABwFmUVAAAAzqKsAgAAwFmUVQAAADiLsgoAAABnUVYBAADgLMoqAAAAnEVZBQAAgLMoqwAAAHAWZRUAAADOoqwCAADAWZRVAAAAOIuyCgAAAGdRVgEAAOAsyioAAACcRVkFAACAsyirAAAAcBZlFQAAAM6irAIAAMBZlFUAAAA4i7IKAAAAZ1FWAQAA4CzKKgAAAJxFWQUAAICzKKsAAABwFmUVAAAAzqKsAgAAwFmUVQAAADiLsgoAAABn/T9Cc2n6Q6T1ZwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_pointer_movement_with_squares(nums)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def algorithm(nums):\n",
    "    slow = 0\n",
    "    fast = 0\n",
    "    size = len(nums)\n",
    "    while fast < size:\n",
    "        if nums[fast]<nums[slow]:\n",
    "            break\n",
    "        if nums[fast]!=nums[slow]:\n",
    "            slow +=1\n",
    "            nums[slow] = nums[fast]\n",
    "        fast +=1\n",
    "    return nums[:slow+1], slow+1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 10)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "algorithm(nums)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
